Greatest Common Factor of 8503/48, 7354/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8503/48, 7354/783

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8503/48,7354/783

Given fractions are 8503/48,7354/783

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8503,7354

Greatest Common Factor of Numerators i.e. GCF of 8503,7354 is 1 .

LCM of Denominators means LCM of 48,783 as per the given fractions.

LCM of 48,783 is 12528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8503,7354

GCF of Fractions 8503/48,7354/783 is 1/12528

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8503,7354 By Matching Biggest Common Factor Method

Greatest Common Factor of 8503,7354 By Matching Biggest Common Factor Method

Factors of 8503

List of positive integer factors of 8503 that divides 8503 without a remainder.

1,11,773,8503

Factors of 7354

List of positive integer factors of 7354 that divides 7354 without a remainder.

1,2,3677,7354

Greatest Common Factor

We found the factors 8503,7354 . The biggest common factor number is the GCF number.
So the greatest common factor 8503,7354 is 1.

Lets's calculate LCM of 48,783

3 48, 783
16, 261

∴ So the LCM of the given numbers is 3 x 16 x 261 = 12528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12528

Therefore, the GCF of Fractions 8503/48,7354/783 is 1/12528

Least Common Multiple of 48,783 with GCF Formula

Least Common Multiple of 48,783 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 48,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,783) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(48,783) x common factors =3 x 1 = 3

LCM(48,783) = ( 48 × 783 ) / 3

LCM(48,783) = 37584 / 3

LCM(48,783) = 12528


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8503/48, 7354/783

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8503/48, 7354/783?

Answer: GCF of Numerators as per given numbers 8503/48, 7354/783 is

GCF of Numerators i.e. for 8503,7354 is 1

LCM of denominators i.e. for 48,783 is 12528.

Thus, GCF of Fractions is 1/12528.Finally, GCF of Fractions for 8503/48, 7354/783 is 1/12528.